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The sum of the reciprocal of a number and 5/6 is 13/12. Find the number.

2 Answers

5 votes
I would have to go with x=4
User Peetman
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\frac1x+\frac56=(13)/(12)\ \ \ \ |\cdot12\\ 12\cdot\frac1x+12\cdot\frac56=12\cdot(13)/(12)\\ \frac{12}x+\frac{60}6=13\\ \frac{12}x+10=13\ \to \ \frac{12}x=3\ \to \ \boxed{x=4}

User HaPsantran
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